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40502301440 = 285177923561
BaseRepresentation
bin100101101110001000…
…000001001100000000
310212112200020002112112
4211232020001030000
51130422042121230
630335000514452
72632453611326
oct455610011400
9125480202475
1040502301440
11161a45475a7
127a2417ba28
133a86162053
141d631a1d16
1510c0b56d95
hex96e201300

40502301440 has 144 divisors (see below), whose sum is σ = 104027172480. Its totient is φ = 15054274560.

The previous prime is 40502301439. The next prime is 40502301449. The reversal of 40502301440 is 4410320504.

It is not an unprimeable number, because it can be changed into a prime (40502301449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1707260 + ... + 1730820.

It is an arithmetic number, because the mean of its divisors is an integer number (722410920).

Almost surely, 240502301440 is an apocalyptic number.

40502301440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40502301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52013586240).

40502301440 is an abundant number, since it is smaller than the sum of its proper divisors (63524871040).

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

40502301440 is a wasteful number, since it uses less digits than its factorization.

40502301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23678 (or 23664 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 40502301440 its reverse (4410320504), we get a palindrome (44912621944).

The spelling of 40502301440 in words is "forty billion, five hundred two million, three hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 79 80 85 128 136 158 160 170 256 272 316 320 340 395 544 632 640 680 790 1088 1264 1280 1343 1360 1580 2176 2528 2686 2720 3160 4352 5056 5372 5440 6320 6715 10112 10744 10880 12640 13430 20224 21488 21760 23561 25280 26860 42976 47122 50560 53720 85952 94244 101120 107440 117805 171904 188488 214880 235610 343808 376976 400537 429760 471220 753952 801074 859520 942440 1507904 1602148 1719040 1861319 1884880 2002685 3015808 3204296 3722638 3769760 4005370 6031616 6408592 7445276 7539520 8010740 9306595 12817184 14890552 15079040 16021480 18613190 25634368 29781104 30158080 31642423 32042960 37226380 51268736 59562208 63284846 64085920 74452760 102537472 119124416 126569692 128171840 148905520 158212115 238248832 253139384 256343680 297811040 316424230 476497664 506278768 512687360 595622080 632848460 1012557536 1191244160 1265696920 2025115072 2382488320 2531393840 4050230144 5062787680 8100460288 10125575360 20251150720 40502301440