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40921235388 = 223211271132313
BaseRepresentation
bin100110000111000110…
…000111111110111100
310220121212112010212200
4212013012013332330
51132301314013023
630444324031500
72646031522155
oct460706077674
9126555463780
1040921235388
1116399a74900
127b20532590
133b21ba2767
141da2a9492c
1510e780a743
hex987187fbc

40921235388 has 108 divisors (see below), whose sum is σ = 115300536624. Its totient is φ = 12225628800.

The previous prime is 40921235387. The next prime is 40921235417. The reversal of 40921235388 is 88353212904.

40921235388 is a `hidden beast` number, since 4 + 0 + 9 + 212 + 353 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40921235387) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 243120 + ... + 375432.

Almost surely, 240921235388 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 40921235388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57650268312).

40921235388 is an abundant number, since it is smaller than the sum of its proper divisors (74379301236).

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

40921235388 is a wasteful number, since it uses less digits than its factorization.

40921235388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132416 (or 132400 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

It can be divided in two parts, 409212353 and 88, that added together give a square (409212441 = 202292).

The spelling of 40921235388 in words is "forty billion, nine hundred twenty-one million, two hundred thirty-five thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 71 99 121 132 142 198 213 242 284 363 396 426 484 639 726 781 852 1089 1278 1452 1562 2178 2343 2556 3124 4356 4686 7029 8591 9372 14058 17182 25773 28116 34364 51546 77319 103092 132313 154638 264626 309276 396939 529252 793878 1190817 1455443 1587756 2381634 2910886 4366329 4763268 5821772 8732658 9394223 13098987 16009873 17465316 18788446 26197974 28182669 32019746 37576892 48029619 52395948 56365338 64039492 84548007 96059238 103336453 112730676 144088857 169096014 192118476 206672906 288177714 310009359 338192028 413345812 576355428 620018718 930028077 1136700983 1240037436 1860056154 2273401966 3410102949 3720112308 4546803932 6820205898 10230308847 13640411796 20460617694 40921235388