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3020433000432 = 2433710195317669
BaseRepresentation
bin101011111100111111110…
…101100000011111110000
3101200202021011120020121220
4223330333311200133300
5343441321322003212
610231322345345040
7431135100615651
oct53747765403760
911622234506556
103020433000432
11a64a5a7603a1
12409468a98180
1318ba96b319c3
14a62928d3528
155387d4e138c
hex2bf3fd607f0

3020433000432 has 160 divisors (see below), whose sum is σ = 8101965280320. Its totient is φ = 968828313600.

The previous prime is 3020433000371. The next prime is 3020433000433. The reversal of 3020433000432 is 2340003340203.

It is a super-2 number, since 2×30204330004322 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3020433000433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170936494 + ... + 170954162.

It is an arithmetic number, because the mean of its divisors is an integer number (50637283002).

Almost surely, 23020433000432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3020433000432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4050982640160).

3020433000432 is an abundant number, since it is smaller than the sum of its proper divisors (5081532279888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3020433000432 is a wasteful number, since it uses less digits than its factorization.

3020433000432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18771 (or 18765 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 3020433000432 its reverse (2340003340203), we get a palindrome (5360436340635).

The spelling of 3020433000432 in words is "three trillion, twenty billion, four hundred thirty-three million, four hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 101 111 148 202 222 296 303 404 444 592 606 808 888 953 1212 1616 1776 1906 2424 2859 3737 3812 4848 5718 7474 7624 11211 11436 14948 15248 17669 22422 22872 29896 35261 35338 44844 45744 53007 59792 70522 70676 89688 96253 105783 106014 141044 141352 179376 192506 211566 212028 282088 282704 288759 385012 423132 424056 564176 577518 653753 770024 846264 848112 1155036 1307506 1540048 1692528 1784569 1961259 2310072 2615012 3561361 3569138 3922518 4620144 5230024 5353707 7122722 7138276 7845036 10460048 10684083 10707414 14245444 14276552 15690072 16838557 21368166 21414828 28490888 28553104 31380144 33677114 42736332 42829656 50515671 56981776 66029053 67354228 85472664 85659312 101031342 132058106 134708456 170945328 198087159 202062684 264116212 269416912 396174318 404125368 528232424 623026609 792348636 808250736 1056464848 1246053218 1584697272 1700694257 1869079827 2492106436 3169394544 3401388514 3738159654 4984212872 5102082771 6802777028 7476319308 9968425744 10204165542 13605554056 14952638616 20408331084 27211108112 29905277232 40816662168 62925687509 81633324336 125851375018 188777062527 251702750036 377554125054 503405500072 755108250108 1006811000144 1510216500216 3020433000432