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40152100302 = 234312349739
BaseRepresentation
bin100101011001010000…
…000110110111001110
310211122021021000220000
4211121100012313032
51124212414202202
630240130505130
72621002135626
oct453120066716
9124567230800
1040152100302
11160348a5276
127946a351a6
133a2b738442
141d2c881886
1510a002d91c
hex959406dce

40152100302 has 120 divisors (see below), whose sum is σ = 93358881000. Its totient is φ = 12897701280.

The previous prime is 40152100231. The next prime is 40152100319. The reversal of 40152100302 is 20300125104.

It is a super-2 number, since 2×401521003022 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 54332649 + ... + 54333387.

It is an arithmetic number, because the mean of its divisors is an integer number (777990675).

Almost surely, 240152100302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40152100302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46679440500).

40152100302 is an abundant number, since it is smaller than the sum of its proper divisors (53206780698).

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

40152100302 is a wasteful number, since it uses less digits than its factorization.

40152100302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 40152100302 its reverse (20300125104), we get a palindrome (60452225406).

The spelling of 40152100302 in words is "forty billion, one hundred fifty-two million, one hundred thousand, three hundred two".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 279 349 558 698 739 837 961 1047 1478 1674 1922 2094 2217 2511 2883 3141 4434 5022 5766 6282 6651 8649 9423 10819 13302 17298 18846 19953 21638 22909 25947 28269 32457 39906 45818 51894 56538 59859 64914 68727 77841 97371 119718 137454 155682 194742 206181 257911 292113 335389 412362 515822 584226 618543 670778 710179 773733 876339 1006167 1237086 1420358 1547466 1752678 1855629 2012334 2130537 2321199 3018501 3711258 4261074 4642398 6037002 6391611 6963597 7995241 9055503 12783222 13927194 15990482 18111006 19174833 20890791 23985723 27166509 38349666 41781582 47971446 54333018 57524499 71957169 115048998 143914338 215871507 247852471 431743014 495704942 647614521 743557413 1295229042 1487114826 2230672239 4461344478 6692016717 13384033434 20076050151 40152100302