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23002411420032 = 2731137147179639
BaseRepresentation
bin1010011101011101010101…
…00011111100100110000000
310000110000020121020121111220
411032232222203330212000
511003332414310420112
6120531054550435040
74562604125015052
oct516565243744600
9100400217217456
1023002411420032
1173692a4636330
1226b6031062a80
13cab16c59a5a5
145974735078d2
1529d52b15998c
hex14ebaa8fc980

23002411420032 has 128 divisors (see below), whose sum is σ = 68456194156800. Its totient is φ = 6782037719040.

The previous prime is 23002411419997. The next prime is 23002411420049.

It is a happy number.

23002411420032 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×230024114200322 (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 23002411419984 and 23002411420011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73433532 + ... + 73746107.

It is an arithmetic number, because the mean of its divisors is an integer number (534814016850).

Almost surely, 223002411420032 is an apocalyptic number.

23002411420032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23002411420032 is an abundant number, since it is smaller than the sum of its proper divisors (45453782736768).

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

23002411420032 is a wasteful number, since it uses less digits than its factorization.

23002411420032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147179704 (or 147179692 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 2300241 and 1420032, that added together give a palindrome (3720273).

The spelling of 23002411420032 in words is "twenty-three trillion, two billion, four hundred eleven million, four hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 128 132 148 176 192 222 264 296 352 384 407 444 528 592 704 814 888 1056 1184 1221 1408 1628 1776 2112 2368 2442 3256 3552 4224 4736 4884 6512 7104 9768 13024 14208 19536 26048 39072 52096 78144 156288 147179639 294359278 441538917 588718556 883077834 1177437112 1618976029 1766155668 2354874224 3237952058 3532311336 4709748448 4856928087 5445646643 6475904116 7064622672 9419496896 9713856174 10891293286 12951808232 14129245344 16336939929 18838993792 19427712348 21782586572 25903616464 28258490688 32673879858 38855424696 43565173144 51807232928 56516981376 59902113073 65347759716 77710849392 87130346288 103614465856 119804226146 130695519432 155421698784 174260692576 179706339219 207228931712 239608452292 261391038864 310843397568 348521385152 359412678438 479216904584 522782077728 621686795136 697042770304 718825356876 958433809168 1045564155456 1437650713752 1916867618336 2091128310912 2875301427504 3833735236672 5750602855008 7667470473344 11501205710016 23002411420032